A central composite design was used to optimize flour combination consisting of sorghum flour (20%–35%), finger millet flour (10%–25%) and gluten (3%–5%) on five responses, namely cooking loss (CL), cooking time (CT), water absorption index (WAI), firmness, and overall acceptability (OA) of multigrain pasta. The optimized pasta was evaluated for physicochemical, antioxidant/anti‐nutritional, in vitro protein digestibility (IVPD), and structural attributes. Optimum level for sorghum, finger millet, and gluten were 31.96%, 13.04%, and 3.40%, respectively, resulted in CL = 9.69 ± 0.44%, CT = 6.10 ± 0.05 min, WAI = 119.54 ± 2.54%, firmness = 11.05 ± 2.40 N, and OA = 7.30 ± 0.20. The antioxidant analysis showed higher in 1,1‐diphenyl‐2‐picrylhydrazyl activity, ferric reducing power and (2,2‐azino‐bis‐3‐ethylbenzothiazoline‐6‐sulfonic acid) activity of optimized pasta. IVPD of optimized pasta (76.51%) altered significantly compared to control pasta (89.69%). However, FTIR and XRD pattern revealed a similar secondary structure for both types of pasta. Practical applications The growing interest toward consumption of nutritionally enriched healthy foods has promoted the cereal industry toward formulations of millet‐based products. However, the quality characteristics of both sorghum and finger millet‐based pasta have been poorly investigated. Higher total phenolic content and antioxidant activity suggested that both sorghum and finger millet could be used to make the pasta having numerous health benefits. Findings of this work may promote the effective utilization of multigrain flour in pasta or other food products which further offer the advantages of a reduced burden on traditional crops, inspiring the agriculture produce and lessen the cost of the final product.

This paper exhibits a numerical method for solving general fractional optimal control problems involving a dynamical system described by a nonlinear Caputo fractional differential equation, associated with a fractional Bolza cost composed as the aggregate of a standard Mayer cost and a fractional Lagrange cost given by a Riemann–Liouville fractional integral. By using the Lagrange multiplier within the calculus of variations and by applying integration by part formula, the necessary optimality conditions are derived in terms of a nonlinear two‐point fractional‐order boundary value problem. An operational matrix of fractional order right Riemann–Liouville integration is proposed and by utilizing it, the obtained two‐point fractional‐order boundary value problem is reduced into the solution of an algebraic system. An L2‐error estimate in the approximation of unknown variable by Legendre wavelet is derived and in the last, illustrative examples are included to demonstrate the applicability of the proposed method.

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